Answer: 45.
Step-by-step explanation:
Answer:
Option (C)
Step-by-step explanation:
The minimum value of x² is 0, and the maximum value is unbounded, so therefore, the maximum value of -x² is 0, and the minimum value is unbounded.
So, this means that adding 1 to this, the range matches with option C.
Answer:
(7,4)
Step-by-step explanation:
midpoint formula (x1+x2)/2 , (y1+y2)/2
Look at x and y for the endpoints separately
midpoint x value = ( 1 + x)/2
4= (1 + x)/2
8 = 1 + x
x = 7
midpoint y value = (2 + y)/2
3 = (2 + y)/2
6 = 2 + y
y = 4
endpoint (x,y) = (7,4)
Answer:
0.1 or 1/10
Step-by-step explanation:
The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.
This is question of permutation.
Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃
By formula (a! is factorial a):
ᵃPₙ 
⁵P₃ 
⁵P₃ 
⁵P₃ 
⁵P₃= 60
This is the total count of possible numbers that can be formed.
Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.
The probability that number is even and greater than 800 is:



Answer:
Step-by-step explanation:
x= -1/4